Square

Extracted Attributes

• Nature

  Technology Company (Fintech)

• Co-founder

  Jack Dorsey

• Key Product

  Cash App

• Characteristic

  Continuously innovates

Square

In geometry, a square is a regular quadrilateral. It has four straight sides of equal length and four equal angles. Squares are special cases of rectangles, which have four equal angles, and of rhombuses, which have four equal sides. As with all rectangles, a square's angles are right angles (90 degrees, or π/2 radians), making adjacent sides perpendicular. The area of a square is the side length multiplied by itself, and so in algebra, multiplying a number by itself is called squaring. Equal squares can tile the plane edge-to-edge in the square tiling. Square tilings are ubiquitous in tiled floors and walls, graph paper, image pixels, and game boards. Square shapes are also often seen in building floor plans, origami paper, food servings, in graphic design and heraldry, and in instant photos and fine art. The formula for the area of a square forms the basis of the calculation of area and motivates the search for methods for squaring the circle by compass and straightedge, now known to be impossible. Squares can be inscribed in any smooth or convex curve, such as a circle or triangle, but it remains unsolved whether a square can be inscribed in every simple closed curve. Several problems of squaring the square involve subdividing squares into unequal squares. Mathematicians have also studied packing squares as tightly as possible into other shapes. Squares can be constructed by straightedge and compass, through their Cartesian coordinates, or by repeated multiplication by i {\displaystyle i} in the complex plane. They form the metric balls for taxicab geometry and Chebyshev distance, two forms of non-Euclidean geometry. Although spherical geometry and hyperbolic geometry both lack polygons with four equal sides and right angles, they have square-like regular polygons with four sides and other angles, or with right angles and different numbers of sides.

Web Search Results

• Square - Wikipedia

  A square is a polygon with four equal sides and four right angles; that is, it is a quadrilateral that is both a rhombus and a rectangle A square is a rectangle with four equal sides. A square is a rhombus with a right angle between a pair of adjacent sides. A square is a rhombus with all angles equal. A square is a parallelogram with one right angle and two adjacent equal sides. [...] A square is a special case of a rhombus (equal sides, opposite equal angles), a kite "Kite (geometry)") (two pairs of adjacent equal sides), a trapezoid (one pair of opposite sides parallel), a parallelogram (all opposite sides parallel), a quadrilateral or tetragon (four-sided polygon), and a rectangle (opposite sides equal, right-angles), and therefore has all the properties of all these shapes, namely: [...] A square is a quadrilateral where the diagonals are equal, and are the perpendicular bisectors of each other. That is, it is a rhombus with equal diagonals. A square is a quadrilateral with successive sides , , , whose area is

• About squares and its properties

  Square is a regular quadrilateral, which has all the four sides of equal length and all four angles are also equal. The angles of the square are at right-angle or equal to 90-degrees. Also, the diagonals of the square are equal and bisect each other at 90 degrees. A square can also be defined as a rectangle where two opposite sides have equal length. The above figure represents a square where all the sides are equal and each angle equals 90 degrees. [...] In Geometry, a square is a two-dimensional plane figure with four equal sides and all the four angles are equal to 90 degrees. The properties of rectangle are somewhat similar to a square, but the difference between the two is, a rectangle has only its opposite sides equal. Therefore, a rectangle is called a square only if all its four sides are of equal length. [...] A square is a four-sided polygon which has it’s all sides equal in length and the measure of the angles are 90 degrees. The shape of the square is such as, if it is cut by a plane from the center, then both the halves are symmetrical. Each half of the square then looks like a rectangle with opposite sides equal. Properties of a Square The most important properties of a square are listed below: Area and Perimeter of Square

• SQUARE definition in American English

  A square is a shape with four sides that are all the same length and four corners that are all right angles. Serve the cake warm or at room temperature, cut in squares. There was a calendar on the wall, with large squares around the dates. 2. countable noun & noun, in names In a town or city, a square is a flat, open place, often in the shape of a square. The house is located in one of the city's prettiest squares. [...] British English: square /skwɛə/ NOUN A square is a shape with four sides of the same length and four corners that are all right angles. Cut the cake into squares. [...] a square of carpet a square on a chessboard 3. (capital when part of name) an open area in a town, sometimes including the surrounding buildings, which may form a square 4. mathematics the product of two equal factors; the second power 9 is the square of 3, written 32 5. an instrument having two strips of wood, metal, etc, set in the shape of a T or L, used for constructing or testing right angles 6. cricket

• Square - Shape, Properties, Formula, Definition - Cuemath

  A square is a quadrilateral with 4 sides and 4 vertices. All four sides of the square are equal to each other. The opposite sides of a square are parallel to each other. The interior angle of a square at each vertex is 90°. The sum of all interior angles is 360°. The diagonals of a square bisect each other at 90°. The length of the diagonals is equal. Since the sides of a square are parallel, it is also called a parallelogram. [...] LearnPracticeDownload # Square A square is a quadrilateral with four equal sides. There are many objects around us that are in the shape of a square. Each square shape is identified by its equal sides and its interior angles that are equal to 90°. Let us learn more about the properties of a square, its formulas, and its construction. [...] A square is a quadrilateral in which: The opposite sides are parallel. All four sides are equal. All angles measure 90°. ## Properties of a Square A square is a closed figure of four equal sides and the interior angles of a square are equal to 90°. A square can have a wide range of properties. Some of the important properties of a square are given below.

• SQUARE Definition & Meaning

  ## adverb 1. in order to be square 2. at right angles 3. sport in a straight line across the pitch pass the ball square 4. informal, squarely square 1. A rectangle having four equal sides. 2. The product that results when a number or quantity is multiplied by itself. The square of 8, for example, is 64. 1. Of, being, or using units that express the measure of area. 1. To multiply a number, quantity, or expression by itself. square [...] Synonyms: park, place 4. a rectangularly shaped area on a game board, as in chess or checkers. 5. a try square, T square, or the like. 6. 1. the second power of a quantity, expressed as a2 = a × a, where a is the quantity. 2. a quantity that is the second power of another. [...] 1. a rectangle having all four sides of equal length. 2. anything having this form or a form approximating it, as a city block, rectangular piece of candy, etc. 3. an open area or plaza in a city or town, formed by the meeting or intersecting of two or more streets and often planted with grass, trees, etc., in the center.

• Instance Of

  Q4167410

In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, π/2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length adjacent sides. It is the only regular polygon whose internal angle, central angle, and external angle are all equal (90°), and whose diagonals are all equal in length. A square with vertices ABCD would be denoted ABCD.